Study of Gamma-hyperrings by fuzzy hyperideals with respect to a t-norm
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, vol.11, no.2, pp.306-331, 2019 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 11 Issue: 2
- Publication Date: 2019
- Doi Number: 10.2478/ausm-2019-0023
- Journal Name: ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.306-331
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: No
Abstract
In this paper, we study the Gamma-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal Gamma-hyperrings in and some related properties are investigated. Regular Gamma-hyperrings are characterized in terms of T-fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the T-(lambda, mu)-fuzzy Gamma-hyperideals in and investigate some of their properties.